Oxford Eprints
(1.101 recursos)
Oxford E-prints is a cross-disciplinary digital archive for research articles written by Oxford University authors. The repository has been developed as part of the SHERPA (Securing a Hybrid Environment for Research Preservation and Access) project and is running on eprints.org open archives software.
Mostrando recursos 1 - 6 de 6
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On the blocks of the infinitesimal Schur algebras - Cox, A
For a reductive algebraic group scheme G, much can be learnt about its representations over a field k of characteristic p > 0 by studying the representations of a related group scheme, GrT, associated to the rth Frobenius kernel Gr and a maximal torus T of G. In the case G=GL(n,k) one can also consider the polynomial representations, and reduce to the study of representations of the Schur algebras. In [8] these two approaches were combined, and gave rise to the construction of a monoid scheme MrD whose representations are equivalent to the polynomial representations of G r T. Just...
2.
The Fundamental Differential Form and Boundary-Value Problems - Fokas, S A; Zyskin, M.
Recently a new method for solving linear and integrable nonlinear partial differential equations (PDEs) in two dimensions has been introduced. For linear PDEs, this method involves the construction of appropriate integral representations for both the solution and the associated spectral function. Here we present an alternative approach for constructing these integral representations. This approach is based on the introduction of what we call a fundamental differential form, and on a reformulation of Green's formula. The new approach is illustrated for the Laplace and the modified Helmholtz equations in a convex polygon, for a dispersive evolution equation with spatial derivatives of...
3.
Mushy Regions in Negative Squeeze Films - Ockendon, J. R.; Howison, S. D.; Lacey, A. A.
An elegant experiment described by Hayes and Feiten in 1964 suggests a novel free boundary model for the evolution of a mushy region in a negative squeeze film. The mushy region nucleates when the plates enclosing the film are pulled apart sufficiently rapidly for the pressure to drop to a critical value at some point of the film. On the basis of an earlier one-dimensional analysis, a complementarity model is proposed for quite general mush evolutions and a regularization of this model is studied analytically and numerically.
5.
Geometric Monodromy and the Hyperbolic Disc - Smith, Ivan
Symplectic four-manifolds give rise to Lefschetz fibrations, which are determined by monodromy representations of free groups in mapping class groups. We study the topology of Lefschetz fibrations by analysing the action of the monodromy on the universal cover of a smooth fibre and give a new and simple proof that Lefschetz fibrations arising from Donaldson's construction via pencils of sections never decompose as non-trivial fibre sums; in particular not all Lefschetz fibrations are fibre sums of holomorphic Lefschetz fibrations. We also show that there can never be isotopy classes of simple closed curve invariant under the monodromy and as a...
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